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Distance
Midpoint
Distance Word Problems
Midpoint Word Problems
100
What is the distance formula?
d=√(x₂-x₁)²+(y₂-y₁)²
100
What is the midpoint formula?
M(((x₁+x₂)/2),((y₁+y₂)/2)))
100
Amy, and Ella are playing jump rope. Amy is standing at (5,6) and Ella is standing at (2,5). What is the distance between them?
√10 or 3.16
100
Cindy was standing in between KFC and McDonalds. If McDonald is located at (4,8) and KFC is located at (-10,-8), where is Cindy located at?
(-3,0)
200
What is the distance between (8,11) and (8,4)?
7
200
Given the points A and B where A is at coordinates ( 2,-5 ) and B is at coordinates ( -3,-7 ) on the line segment AB, find the midpoint of AB.
(-.5,-6)
200
The teacher stands at (4,2) and a student is sitting at (2,2). What is the distance between the teacher and students?
2
200
Sharon is standing at (5,8) when two cars from the same distance is driving towards her. One of the car is located at (-1, 3), where is the other car located at?
(11,13)
300
Given the points A and B where A is at coordinates ( 2, -5 ) and B is at coordinates ( -3, -7 ) on the line segment AB, find the length of AB.
√29 or 5.39
300
Find the midpoint of the line segment AB where point A is at ( 0, 2 ) and point B is at ( -1, - 4 ).
(-.5,-1)
300
Tommy's phone is ringing in the bedroom,(4,7), but he is in the living room,(8,2). What is the distance Tommy needs to go to pick up his phone?
√41 or 6.4
300
Henry just got out of school and he can either go to the library or to the mall. If the two places are equidistances from the school, the mall is at (9,2) and the school is at (3,4), where is the library located at?
(-3,6)
400

Classify triangle ABC as scalene, isosceles, or equilateral A(3,1), B(4,2), C(1,3). Consider the hypotenuse value and the value of c2.

scalene

400

The midpoint of a segment is (3, 5). One endpoint is (1, 2). What is the other endpoint?

(5,8)

400
To get from his home to his girlfriend's home, Jimmy must drive around the library. If he drives 3 miles north, then 4 miles east, and finally 5 miles south, what is the straight-line distance between Jimmy's home and his girlfriend's home?
√20 or 4.47
400
Tommy is at Disneyland taking pictures with the characters. If SpongeBob is at (-8,3) and Mickey Mouse is at (2,-5), and Tommy is sitting between them, where is Tommy located at?
(-3,-1)
500

Opposite corners of a rectangular park have the coordinates (3,-5) and (-2,7). You are on a bike. Your friend is on foot. 

You race your friend. You can only bike on the sidewalk lining the park's boundary, while your friend runs directly to the opposite point. How much farther do you have to bike than your friend runs?

4

500
Write an equation for the perpendicular bisector of the line segment joining A(-1, 4) and B(5, 2)
y=3x-3
500
A skydiver lands 150 yards west and 30 yards north of a target. A second skydiver lands 45 yards east and 150 yards south of the same target. How far from each other did the two skydivers land?
√70425 or 265.38
500

Lily is deciding between Froyo or Ice Cream. Froyo is at (5,6) and she is standing at (7,1.5). Ice cream is the same distance away as Froyo. Where is the Froyo?

(9,-3)